Q: What is the total or count of factors of the number 25,242,705?

 A: 48

How do I find the total factors of the number 25,242,705?

Step 1

Find the prime factorization of the number 25,242,705.

Use a factor tree to assist with solving. Take a look at our prime factorization page for additional help.

Factor Tree
25,242,705
Factor Arrows
38,414,235
Factor Arrows
32,804,745
Factor Arrows
3934,915
Factor Arrows
5186,983
Factor Arrows
1710,999
Factor Arrows
17647

The prime factorization in exponential form is: 33 x 51 x 172 x 6471

Step 2

Setup the equation for determining the number of factors or divisors. The equation is:

d(n) = (a + 1)(b + 1)(c + 1)(d + 1)

Where d(n) is equal to the number of divisors of the number and a, b, etc. are equal to the exponents of the prime factorization.

Now substitute the letters in the equation with the the exponents of your prime factorization and then solve to calculate the total number of divisors.

25,242,705 = 33 x 51 x 172 x 6471
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(25242705) = (3 + 1)(1 + 1)(2 + 1)(1 + 1)
Down Arrow
d(25242705) = (4)(2)(3)(2)
Down Arrow
d(25242705) = 48

More numbers for you to try

Take a look at the factors page to see the factors of 25,242,705 and how to find them.

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